Question

DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the

length of the long leg and the length of the hypotenuse.

Answer 1

Below in bold.

Explanation:

In a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.

Answer 2

SD = 2x

UD = x
`√(3)`

Explanation:

The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.

SU is the shorter leg = x

So, SD = 2x

The longer leg of a 30-60-90 triangle is
`√(3)` times the shorter leg.

So, UD = x
`√(3)`